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curve #1400

y² + xy = x³ − 251342362203725x + 1533721250790006865041

a-invariants: [1, 0, 0, -251342362203725, 1533721250790006865041]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 22866558
discriminant (Δ): 988383744373976240057106218913541128192
Faltings height: 6.8090
naive height: 111.0871
primes of bad reduction: 2, 3, 11, 13, 29, 919
regulator: 27.0839172363312768063711243542771606022707
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:21:22 UTC
last updated: 2026-09-24 23:21:22 UTC

Witness: 2 independent points log in to add more points →

(1102879570/121, 259638074189/1331)
(2283015865/256, -5042654674811/4096)

Commentary

Torsion Z/10. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:21:22 UTC · history

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